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Estimates for oscillatory strongly singular integral operators
- Authors
- Cho, Chu-Hee; Yang, Chan Woo
- Issue Date
- 15-2월-2010
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Strongly singular; Oscillatory; Sharp decay estimates; Hardy space
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.362, no.2, pp.523 - 533
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 362
- Number
- 2
- Start Page
- 523
- End Page
- 533
- ISSN
- 0022-247X
- Abstract
- In this paper we consider oscillatory integral operators with strong singularities on R. We obtain sharp decay estimates for L-2 operator norm. We also obtain H-p estimates for difference of oscillatory strongly singular integral operators and strongly singular integral operators, which gives L-p mapping properties of oscillatory strongly singular integral operators. (C) 2009 Elsevier Inc. All rights reserved.
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